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Finding the Fourth Proportional to 9,669, 13,349.66 and 7,426.88

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Solution

The fourth proportional to 9,669, 13,349.66 and 7,426.88 is: 10,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669 : 13,349.66 = 7,426.88 : x
  2. Step 2: Convert to fraction form
    9,669/13,349.66 = 7,426.88/x
  3. Step 3: Cross multiply
    9,669x = 13,349.66 × 7,426.88
  4. Step 4: Simplify right side
    9,669x = 99,146,322.86
  5. Step 5: Solve for x
    x = 99,146,322.86/9,669
  6. Step 6: Final answer
    x = 10,254.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.